PROGRAMME DU DIPLÔME DU BI

PROGRAMA DEL DIPLOMA DEL BI

M07/5/MATHL/HP1/ENG/TZ1/XX/M

MARKSCHEME

May 2007

MATHEMATICS

Higher Level

Paper 1

16 pages

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M07/5/MATHL/HP1/ENG/TZ1/XX/M

This markscheme is confidential and for the exclusive use of examiners in this examination session.

It is the property of the International Baccalaureate and

must not be reproduced or distributed to any other person

without the authorization of IBCA.

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M07/5/MATHL/HP1/ENG/TZ1/XX/M

Instructions to Examiners

Abbreviations

M

Marks awarded for attempting to use a correct Method; working must be seen.

(M)

Marks awarded for Method; may be implied by correct subsequent working.

A

Marks awarded for an Answer or for Accuracy: often dependent on preceding M marks.

(A)

Marks awarded for an Answer or for Accuracy; may be implied by correct subsequent working.

R

Marks awarded for clear Reasoning.

N

Marks awarded for correct answers if no working shown.

AG

Answer given in the question and so no marks are awarded.

Using the markscheme

1

General

Write the marks in red on candidates’ scripts, in the right hand margin. • Show the breakdown of individual marks awarded using the abbreviations M1, A1, etc. • Write down the total for each question (at the end of the question) and circle it.

2

Method and Answer/Accuracy marks

• Do not automatically award full marks for a correct answer; all working must be checked, and marks awarded according to the markscheme.

• It is not possible to award M0 followed by A1, as A mark(s) depend on the preceding M mark(s), if any.

• Where M and A marks are noted on the same line, e.g. M1A1, this usually means M1 for an attempt to use an appropriate method (e.g. substitution into a formula) and A1 for using the correct values.

• Where the markscheme specifies (M2), N3, etc., do not split the marks. • Once a correct answer to a question or part-question is seen, ignore further working.

3

N marks

Award N marks for correct answers where there is no working. •

•

Do not award a mixture of N and other marks.

There may be fewer N marks available than the total of M, A and R marks; this is deliberate as it penalizes candidates for not following the instruction to show their working.

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M07/5/MATHL/HP1/ENG/TZ1/XX/M

Implied marks

Implied marks appear in brackets e.g. (M1), and can only be awarded if correct work is seen or if implied in subsequent working.

• Normally the correct work is seen or implied in the next line. • Marks without brackets can only be awarded for work that is seen.

5

Follow through marks

Follow through (FT) marks are awarded where an incorrect answer from one part of a question is used correctly in subsequent part(s). To award FT marks, there must be working present and not just a final answer based on an incorrect answer to a previous part. • If the question becomes much simpler because of an error then use discretion to award fewer FT marks.

• If the error leads to an inappropriate value (e.g. sin θ = 1.5 ), do not award the mark(s) for the final answer(s).

• Within a question part, once an error is made, no further dependent A marks can be awarded, but M marks may be awarded if appropriate.

• Exceptions to this rule will be explicitly noted on the markscheme.

6

Mis-read

If a candidate incorrectly copies information from the question, this is a mis-read (MR). Apply a MR penalty of 1 mark to that question. Award the marks as usual and then write –1(MR) next to the total. Subtract 1 mark from the total for the question. A candidate should be penalized only once for a particular mis-read.

• If the question becomes much simpler because of the MR, then use discretion to award fewer marks.

• If the MR leads to an inappropriate value (e.g. sin θ = 1.5 ), do not award the mark(s) for the final answer(s).

7

Discretionary marks (d)

An examiner uses discretion...